Saddle point criteria for semidefinite semi-infinite convex multiobjective optimization problems-Reference-Cited by-同舟云学术

Saddle point criteria for semidefinite semi-infinite convex multiobjective optimization problems

Published:2022 Issue:3 Volume:32 Page:283-297
ISSN:0354-0243
Container-title:Yugoslav Journal of Operations Research
language:en
Short-container-title:YUGOSLAV J OPERATION

Author:

Laha Vivek¹,Kumar Rahul¹,Maurya Jitendra¹

Affiliation:

1. Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India

Abstract

In this paper, we consider a nonlinear semidefinite semi-infinite convex multiobjective optimization problem where the feasible region is determined by finite number of equality and infinite number of inequality constraints. We establish saddle point necessary and sufficient optimality conditions under some suitable constraint qualification. We establish Karush-Kuhn-Tucker optimality conditions using the saddle point optimality conditions for the differentiable case and construct some examples to illustrate our results.

Publisher

National Library of Serbia

Subject

Management Science and Operations Research

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